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42024750 = 2353137409
BaseRepresentation
bin1010000001001…
…1111100101110
32221002002010020
42200103330232
541224243000
64100423010
71020130065
oct240237456
987062106
1042024750
11217a38a9
12120a7a66
138925321
14581d1dc
153a51ba0
hex2813f2e

42024750 has 64 divisors (see below), whose sum is σ = 105917760. Its totient is φ = 11097600.

The previous prime is 42024743. The next prime is 42024769. The reversal of 42024750 is 5742024.

42024750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420247502 = 3532159225125000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42024750.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102546 + ... + 102954.

It is an arithmetic number, because the mean of its divisors is an integer number (1654965).

Almost surely, 242024750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42024750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52958880).

42024750 is an abundant number, since it is smaller than the sum of its proper divisors (63893010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42024750 is a wasteful number, since it uses less digits than its factorization.

42024750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 42024750 is about 6482.6499211356. The cubic root of 42024750 is about 347.6709301759.

Adding to 42024750 its reverse (5742024), we get a palindrome (47766774).

The spelling of 42024750 in words is "forty-two million, twenty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 137 150 250 274 375 409 411 685 750 818 822 1227 1370 2045 2055 2454 3425 4090 4110 6135 6850 10225 10275 12270 17125 20450 20550 30675 34250 51125 51375 56033 61350 102250 102750 112066 153375 168099 280165 306750 336198 560330 840495 1400825 1680990 2801650 4202475 7004125 8404950 14008250 21012375 42024750